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Finding the Fourth Proportional to 12,849.39, 19,274.03 and 4,084.98

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Solution

The fourth proportional to 12,849.39, 19,274.03 and 4,084.98 is: 6,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849.39 : 19,274.03 = 4,084.98 : x
  2. Step 2: Convert to fraction form
    12,849.39/19,274.03 = 4,084.98/x
  3. Step 3: Cross multiply
    12,849.39x = 19,274.03 × 4,084.98
  4. Step 4: Simplify right side
    12,849.39x = 78,734,006.64
  5. Step 5: Solve for x
    x = 78,734,006.64/12,849.39
  6. Step 6: Final answer
    x = 6,127.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.